29 citations · 246 across the 34 of their papers we have counts for
5 papers · 1 filter
First Order Phase Transition of a Long Polymer Chain
David Aristoff, Charles Radin
We consider a model consisting of a self-avoiding polygon occupying a variable density of the sites of a square lattice. A fixed energy is associated with each -bend of t…
Dilatancy transition in a granular model
David Aristoff, Charles Radin
We introduce a model of granular matter and use a stress ensemble to analyze shearing. Monte Carlo simulation shows the model to exhibit a second order phase transition, associated…
Layering in Crumpled Sheets
David Aristoff, Charles Radin
We introduce a toy model of crumpled sheets. We use simulation to show there is a first order phase transition in the model, from a disordered dilute phase to a mixture with a laye…
Random close packing in a granular model
D. Aristoff, C. Radin
We introduce a 2-dimensional lattice model of granular matter. We use a combination of proof and simulation to demonstrate an order/disorder phase transition in the model, to which…
Random Loose Packing in Granular Matter
David Aristoff, Charles Radin
We introduce and simulate a two dimensional probabilistic model of granular matter at vanishing pressure. The model exhibits a perfectly sharp random loose packing density, a pheno…